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April 10, 20260 citationsOpen Access

Informational Scalar-Tensor Gravity: A Covariant Effective Field Theory for MOND Phenomenology

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ARALESSANDRO ROSSI

Key Points

  • The aim is to introduce Informational Scalar-Tensor Gravity (ISTG) as a framework for understanding gravitational phenomena and its relationship to information theory.
  • Developed within a restricted Horndeski framework to ensure second-order field equations.
  • Analyzed stability conditions and consistency requirements for the theoretical model.
  • Investigated the weak-field regime to study the effects of nonlinear scalar dynamics on gravitational potential.
  • Emergence of Modified Newtonian Dynamics (MOND) from the model, suggesting an alternative to dark matter.
  • Dynamically derived MOND functions and characteristic acceleration scale a₀ ~ cH₀.
  • The model incorporates a screening mechanism ensuring compatibility with General Relativity in high-density conditions.

Abstract

This work introduces Informational Scalar-Tensor Gravity (ISTG), a covariant effective field theory in which spacetime geometry is coupled to a dimensionless scalar field encoding the local informational state of the vacuum. The scalar field is defined in terms of renormalized entanglement entropy and interpreted as a measure of physical negentropy. The theory is formulated within a restricted Horndeski framework, ensuring second-order field equations and compatibility with the observed luminal propagation of gravitational waves. Stability conditions and consistency requirements are explicitly analyzed. In the weak-field regime, nonlinear scalar dynamics modify the gravitational potential. A central result of the model is the emergence of Modified Newtonian Dynamics (MOND) phenomenology as a scaling regime of the field equations. Both the MOND interpolating function and the characteristic acceleration scale a₀ ~ cH₀ arise dynamically from the theory, rather than being introduced phenomenologically. A screening mechanism ensures recovery of General Relativity in high-density environments, maintaining compatibility with local gravity tests. ISTG therefore provides a conceptually unified and testable alternative to dark matter at galactic scales, linking gravitational dynamics to the informational structure of spacetime.

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Cite This Study

ALESSANDRO ROSSI (2026) studied this question.

synapsesocial.com/papers/69d893896c1944d70ce0489chttps://doi.org/10.5281/zenodo.19457474
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